{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b7c93cc7-c9a3-468d-a4c9-b2e6655660a6",
   "metadata": {},
   "source": [
    "Chapter 14\n",
    "# 柏拉图图\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "88770f5b-4525-412d-b8a7-420afc9f994d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "59837ee5-3866-4e56-bc41-72ffccc934a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize_G(G,fig_name):\n",
    "    plt.figure(figsize = (6,6))\n",
    "    nx.draw_networkx(G, \n",
    "                     pos = nx.spring_layout(G),\n",
    "                     with_labels = False,\n",
    "                     node_size = 28) \n",
    "    plt.savefig(fig_name + '.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a38fe7a2-daf2-49b4-86a2-70398a37b987",
   "metadata": {},
   "source": [
    "## 正四面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "58a35897-860b-4c58-965b-0597a2764dff",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6\n",
      "4\n"
     ]
    }
   ],
   "source": [
    "tetrahedral_graph = nx.tetrahedral_graph() \n",
    "print(len(tetrahedral_graph.edges))\n",
    "print(len(tetrahedral_graph.nodes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "33582768-5788-4580-9b8d-3b594cd8618a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZwI+KksNi6kYsZMjnWjaVSoWlS5ciNzcX/fv3h8FgQIcOHUTHIiIHU1JSgiFDhmD79u145513MHbsWNGR/sVqtcpmMVWO3yFDPitk4NqIzc2bNyMgIADh4eH48ssvRUciIgeSl5eH8PBw7N69Gzt27JBkGQNAUVERysrKZLGYKsdChrwKGbg2YjM+Ph5NmzaFXq/HyZMnRUciIgdw7tw5dOnSBdnZ2UhJSUFUVJToSLfkiPMjboeFDPkVMnDtL2n5bkitVguj0Sg6EhFJ2G+//YaAgACcOnUKGRkZ6NKli+hI/4mFLFNyLGQA8PX1hcFgQH5+PoKCgnDlyhXRkYhIgo4fPw4/Pz8UFxcjOzsbrVq1Eh3ptljIMiXXQgaABx54AAaDASdPnkRkZCRHbBLR3+Tk5KB9+/aoU6cOsrOz0bRpU9GRKoSFLFNy2zr/T48//jgSEhKQnZ2NmJgYlJWViY5ERBKQnJyMrl27okWLFsjMzES9evVER6owFrIMFRcX4+rVq7I6qDcTGBiInTt3Ii4uDrGxsRyxSaRwmzdvRkREBLRaLQwGA+655x7RkSolLy8PAAtZVsrfZclp6/ytREREYNWqVVi5ciVeeOEF0XGISJDXX38dgwYNwuDBg7Fnzx64u7uLjlRp5eduT09PwUlsR/GDQeT4scd/GT58OEwmE+bMmQONRoPRo0eLjkREVcRqtWLGjBlYvHgxZs+ejRdffFFy07cqymw2w8PDQ1KjPO8WC1lhhQwAs2bNgtFoxNixY+Hj44OePXuKjkREdnb16lWMGDECmzZtwtKlSzF+/HjRke6KHDfjspAVWMgqlQpvvfXW9RGbqamp6NSpk+hYRGQnBQUFiIqKgsFgwNatW9G/f3/Rke4aC1mGlFjIAKBWq7Fx40acP38eEREROHz4MFq2bCk6FhHZ2IULFxAaGopjx44hKSkJOp1OdCSbkGMhc1OXQgsZAFxdXfH+++/jkUceQVBQEH7++WfRkYjIhn7//Xe0b98eP/74I9LT02VTxgALWZaUtMv6ZqpXr47k5GTUqlULWq0Wf/75p+hIRGQD33//Pfz8/JCXl4esrCw888wzoiPZFAtZhvLy8uDu7g5nZ+V+eu/j44O0tDQUFRUhKCgIly9fFh2JiO7Cxx9/jICAANSsWRPZ2dl45JFHREeyORayDMnlXsh3q2HDhjAYDPjll1/QvXt3FBUViY5ERHfAYDCgc+fOePjhh5GZmYn69euLjmQXcpywyEKW4busO9WiRQskJibio48+QnR0NEdsEjmYbdu2ITQ0FJ06dcIHH3yAOnXqiI5kN3I8d7OQZXhQ70ZAQAB27dqFffv24dlnn+WITSIHsXTpUkRHRyM6Ohrx8fHw8PAQHcmu5PjpJguZhfwvYWFhWLNmDVatWoXnn39edBwi+g9WqxWzZ8/GxIkTMW3aNGzYsAEuLi6iY9mdHM/dyt3J9Bc5HlRbGDJkCEwmE2bOnAmNRoOxY8eKjkRE/1BaWorRo0dj3bp1WLx4MaZOnSo6UpWwWq2y/A6ZhWw2w8vLS3QMSZo+fTqMRiPGjRsHb29vREVFiY5ERH8pLCxEv379kJSUhE2bNmHgwIGiI1WZgoICWCwWFrLcmM1mNGrUSHQMSVKpVHj99deRm5uLmJgYeHl5oUuXLqJjESnepUuXEB4ejs8++wwJCQkIDg4WHalKyXWgk+ILWY4fe9iSWq3G+vXrce7cOXTv3h0ZGRlo1aqV6FhEinXmzBno9Xr8/vvvOHjwINq1ayc6UpWTayFzUxe/Q74tFxcX7NmzB48++iiCgoJw4sQJ0ZGIFOnHH3+Ev78/Lly4gCNHjiiyjIFrCymAhSw7ctw6bw+enp5ITk6Gl5cXtFotzp49KzoSkaJ8/vnnCAgIQLVq1ZCTk4NHH31UdCRhuEKWIavVyhVyJXh5ecFgMKC0tBR6vR6XLl0SHYlIEQ4cOICOHTuicePGOHLkCO6//37RkYSS6z0IFF3IRUVFKCsrYyFXwv333w+DwYDTp08jIiIChYWFoiMRydquXbsQHBwMf39/HDx4EN7e3qIjCccVsgzJ9aDaW/PmzZGcnIxPP/0U/fv3R2lpqehIRLL0zjvvoG/fvujduzcSEhLg6ekpOpIklJ+75fbnwUIGC/lOtGvXDrt370ZiYiLGjBnDEZtENmS1WjF//nyMGzcOEyZMwHvvvQdXV1fRsSSjfO+PWi2vCpPXv00lsZDvTkhICNavX4+1a9di3rx5ouMQyUJZWRnGjBmDF154Aa+88grefPNN2RXP3ZLr3h9FX4cs163zVWngwIEwmUyYNm0aNBoNYmNjRUciclhFRUWIiYlBfHw81q5di2HDhomOJEksZBniCtk2pk6dCqPRiAkTJsDHxwd9+/YVHYnI4Vy5cgURERH46KOPEB8fj/DwcNGRJEuuA51YyJDf1nkRFi1aBKPRiIEDB8LLywvdunUTHYnIYRiNRgQFBeHkyZNIS0tD+/btRUeSNK6QZYiFbDtqtRrr1q3D+fPnERkZiUOHDuHpp58WHYtI8k6ePAmtVouCggIcOXIEjz32mOhIkifXgU6K3ilgNpvh4eEBJycn0VFkwcXFBbt27cJjjz2G4OBg/PDDD6IjEUnal19+CT8/P6jVauTk5LCMK0iuK2TFF7IcD6pInp6eSEpKgo+PD3Q6Hc6cOSM6EpEkZWRkIDAwEPXr10dWVhbvOlcJcj13s5BleFBFKx+xWVZWBp1Oh4sXL4qORCQpcXFx0Ol0aNOmDQ4dOgRfX1/RkRyKXM/dLGQZHlQpaNCgAdLS0nDmzBmEh4dzxCbRX1avXo3evXsjMjISSUlJPAfdAbmeu1nIMjyoUtGsWTMkJyfjiy++QJ8+fThikxTNarVi4cKFGDVqFMaOHYtt27bBzc1NdCyHJNdzt6ILWa7XsklJ27ZtsWfPHqSkpGDUqFEcsUmKZLFYEBsbi+eeew4vvPACli1bxulbd8hiscj23K34y558fHxEx5C9oKAgbNiwAQMGDICvry9eeeUV0ZGIqkxxcTEGDRqE3bt3491338WoUaNER3JoBQUFAOQ50Enxhdy4cWPRMRQhJiYGJpMJU6ZMgUajwcSJE0VHIrI7s9mMHj16IDMzE7t370aPHj1ER3J4cp6wqPhCluNBlarJkyfDaDRi0qRJ8PHxQXR0tOhIRHaTm5t7/Xr81NRUdOrUSXQkWZDzQCcWMgu5Sr366qswmUwYPHgwvLy8oNfrRUcisrlffvkFWq0WV65cweHDh9GyZUvRkWRDzitkRe8qYCFXPZVKhTVr1kCv16Nnz574+OOPRUcisqmvv/4afn5+sFgsyM7OZhnbGAtZhqxWq2x36kmds7Mzdu7ciZYtWyIkJATff/+96EhENpGVlYXAwEBoNBpkZ2ejSZMmoiPJDgtZhgoKCmCxWGR5UB2Bh4cHEhMTce+990Kr1eL3338XHYnoriQkJKBbt2548sknkZGRAY1GIzqSLLGQZSgvLw+APA+qo6hduzYMBgNUKhV0Oh0uXLggOhLRHVm/fj0iIyMRHByMlJQU1KpVS3Qk2TKbzVCr1fDw8BAdxeYUW8hyfpflSO677z4YDAYYjUaEhYVdv8aQyBFYrVa8+uqrGDZsGEaMGIFdu3ahWrVqomPJWl5eHqpXrw6VSiU6is0pvpDluHXe0TzyyCPYv38/vvrqK0RFReHq1auiIxHdlsViweTJkzFr1iw899xzWLlyJW/lWgXkvBlX8YUs1wPraJ555hnExcXBYDBgxIgRHLFJklZSUoKBAwdi6dKlWL58ORYsWCDLFZsUmc1m2S6kFHsdMgtZerRaLTZt2oTo6Gj4+vritddeEx2J6F/y8/PRs2dPpKenY8eOHYiKihIdSVHkvEJmIcv0wDqq/v37Izc3FxMnToRGo8GUKVNERyK67vz58wgJCcHx48exf/9+dO3aVXQkxWEhy1B5IXt6egpOQv80YcIEGI1GTJ06FT4+Phg4cKDoSET47bffoNPpcP78eRw6dAitW7cWHUmRWMgyVP49BG+BJk0vvfQSTCYThg4dCm9vbwQHB4uORAr27bffQqfTwcnJCVlZWXjooYdER1Iss9mMBg0aiI5hF4ptI07pkjaVSoV3330XoaGh6N27Nz766CPRkUihPvzwQwQEBKB27drIyclhGQsm5xWyYgtZzgdVLpydnbF9+3a0atUKISEh+O6770RHIoXZv38/unTpghYtWiAzMxP16tUTHUnx5LyYUnQhy3XrvJy4u7sjISEB9913H7RaLU6fPi06EinEe++9h/DwcGi1WhgMBtxzzz2iIxHkvZhSdCHL9aDKzT333IPU1FQ4Oztf31RDZE9vvPEGBg4ciEGDBmHPnj1wd3cXHYn+IufFFAuZHEK9evVgMBiQm5uL0NBQ5Ofni45EMmS1WjF9+nRMnToVs2bNwtq1a+HsrNi9r5JjsViQn58v23M3C5kcxkMPPYSUlBR888036N27N0dskk1dvXoVQ4YMweLFi7FkyRK8/PLLnL4lMXK/KRALmRxK69atER8fjwMHDmDYsGGwWCyiI5EMFBQUIDIyElu3bsXWrVsxYcIE0ZHoJuQ+0Emxn8WwkB1X165d8d5776Ffv37w9fXF66+/LjoSObALFy4gLCwMX375JRITE6HX60VHoltgIcsUC9mx9enTB7m5uYiNjYVGo8G0adNERyIH9Pvvv0Ov1+PPP/9Eeno62rRpIzoS/QcWskzJ+Vo2pRg3bhyMRiOmT58OX19fDBo0SHQkciDff/89dDodrFYrsrKy8Mgjj4iORLfBQpYhq9V6/SbX5NheeOEFmEwmDBs2DF5eXggNDRUdiRzAJ598guDgYGg0GhgMBtSvX190JKoAbuqSofz8fFitVtkeVCVRqVRYsWIFwsPDERUVhZycHNGRSOLS0tLQuXNnPPTQQzhy5AjL2IHIfYWsyEKW+0FVGicnJ2zbtg3PPPMMQkNDcfz4cdGRSKK2b9+OkJAQdOzYEQcOHECdOnVER6JKMJvNUKvVqFatmugodsFCJlmoVq0a9u3bh/vvvx86nQ6//fab6EgkMcuWLUP//v0RHR2N+Ph4eHh4iI5ElVS+GVeu14ezkEk2atWqhZSUFLi6ukKr1eLcuXOiI5EEWK1WzJkzBxMmTMC0adOwYcMGuLi4iI5Fd0DuV8ewkElW6tati7S0NFy8eBEhISHXN4GQMpWWlmLEiBF4+eWXsXjxYrz22muyXV0pAQtZhljI8vbggw8iJSUF3333HXr16oWSkhLRkUiAwsJC9OrVCxs3bsSmTZswdepU0ZHoLrGQZUjuW+cJeOqpp7B3714cOnQIQ4YM4YhNhbl06RJ0Oh3S0tKwb98+DBw4UHQksgG5F7Iir0M2m81QqVTc1CFznTt3xtatWxEVFQVfX1+8+eab/LhSAc6ePQu9Xo/Tp0/jwIED8PPzEx2JbETuA50UuUIuv58mT87y16tXL7zzzjtYsmQJFi1aJDoO2dmJEyfg5+eH8+fP48iRIyxjmeEKWYbkflDp78aMGQOj0YhZs2bB19cXQ4cOFR2J7ODzzz9HUFAQ6tSpg8OHD+P+++8XHYlsrHwxJVcsZFKE+fPnw2g0YsSIEfD29kZ4eLjoSGRDBw8eRPfu3dG8eXMkJyfD29tbdCSyA7mfuxX7kbWcDyr9m0qlwvLlyxEZGYk+ffrgyJEjoiORjezevRvBwcHw9/fHwYMHWcYyJvdzNwuZFMPJyQlbtmxB27ZtERYWhq+//lp0JLpLK1asQJ8+fdCzZ08kJCTI+uNMkv+5m4VMilI+YvOBBx6ATqfDL7/8IjoS3QGr1Yrnn38ezz77LMaPH48tW7bA1dVVdCyyo9LSUhQWFsr63K3IQpb71nn6bzVr1kRKSgrc3d2h0+mQm5srOhJVQllZGcaOHYsFCxbglVdewVtvvQW1WpGnMkVRwvwIRf4t5gqZ7r33XqSlpeHy5csIDg6+Pr2NpK24uBh9+/bF6tWrsXbtWsycOZOXLyoEC1mm5L51niqmSZMmSElJwQ8//IAePXpwxKbEXblyBUFBQUhKSkJcXByGDRsmOhJVISWMPFZsIcv5oFLFtWzZEvv27UNmZiYGDRrEEZsSZTQa0bFjR3zxxRdIS0tDRESE6EhUxcoLWc6LKRYyKV6nTp2wbds27Ny5ExMnToTVahUdiW5w8uRJ+Pv7488//0RmZibat28vOhIJwBWyDFksFuTn58v6oFLl9ezZEytXrsTbb7+Nl19+WXQc+suXX34JPz8/qNVqZGdn4/HHHxcdiQRRQiErblKXEjYG0J0ZNWoUjEYj5s6dC19fX4wYMUJ0JEXLyMhAREQEmjZtiv3798PX11d0JBKIhSxDSjiodOfmzZsHk8mE0aNHw9vbG5GRkaIjKVJcXBz69++PgIAAxMfH879XgtlshrOzM9zc3ERHsRvFfWTNQqb/olKpsHTpUvTs2RP9+vXD4cOHRUdSnDVr1qB3796IiIhAcnIy/1slAP/f+yPny9wUV8j8yJpux8nJCe+99x4CAgIQHh6Or776SnQkRbBarXjxxRcxcuRIjBkzBtu2bZP1aogqRwmbcRVXyFwhU0W4ubkhPj4eDz74IPR6PU6ePCk6kqxZLBaMHz8e8+bNw4IFC/D222/DyclJdCySECVMWFRsIcv5WjayjRo1aiAlJQXVq1eHTqeDyWQSHUmWSkpKEB0djXfeeQcrV67Ec889J+uPJenOcIUsQ1whU2X4+voiLS0NeXl5CAoKwpUrV0RHkhWz2YzQ0FDExcVh9+7dGD16tOhIJFFKmLCoyEJWq9Vwd3cXHYUcxAMPPIDU1FT89NNPiIyMRHFxsehIspCbm4vOnTvjo48+QmpqKnr27Ck6EkkYV8gypISdemR7TzzxBBITE5GdnY0BAwagrKxMdCSH9ssvvyAgIACnT5/G4cOH0alTJ9GRSOJYyDKkhINK9hEYGIgdO3bg/fffx/jx4zli8w59/fXX8Pf3R2lpKbKzs9GyZUvRkcgBKOHczUImqoTu3btj1apVWLFiBRYuXCg6jsPJyspCYGAgfH19kZ2djSZNmoiORA5CCeduxU3qUsLWebKv4cOH/23EJjciVUxCQgL69OmDtm3bYu/evahVq5boSORAWMgypISDSvY3e/ZsGI1GjB07Fj4+PtyQdBsbNmzAiBEjEBERga1bt6JatWqiI5GDUcJiSpEfWct96zzZn0qlwpIlS9CnTx/0798fhw4dEh1JkqxWKxYtWoShQ4di2LBh2LVrF8uYKq20tBRFRUUsZLnhCplsRa1WY9OmTejQoQMiIiJw9OhR0ZEkxWKxYMqUKZg5cybmzZuHd999l9O36I4oZaATC5noLri6uuL999/Hww8/jKCgIPz888+iI0nC1atXMWjQICxZsgRvv/02XnjhBV5qSHdMKQOdWMhEd6lGjRrYv38/atWqBZ1OB6PRKDqSUPn5+QgPD8fOnTuxfft2jBs3TnQkcnAsZJliIZM9+Pj4wGAwoLCwUNEjNs+fP48uXbrgyJEjSE5ORp8+fURHIhlgIcsUC5nspVGjRkhNTcWpU6fQvXt3FBUViY5UpU6fPo327dvj559/RkZGBrp16yY6EskEC1mGysrKUFhYKPuDSuI89thjSExMxIcffoiYmBjFjNj89ttv4efnh4KCAmRnZ6N169aiI5GMsJBlKC8vD4D8DyqJFRAQgJ07d2Lv3r0YN26c7Edsfvjhh2jfvj1q166NnJwcPPTQQ6Ijkcwo5dytqEJWytZ5Ei88PByrV6/Gu+++iwULFoiOYzf79+9Hly5d0Lx5c2RmZqJevXqiI5EMmc1muLq6wtXVVXQUu1LUpC6lfOxB0jB06FCYTCbMmjULGo0GY8aMER3Jpt577z0MGTIEISEh2LFjB29pSnajlIFOLGQiO5oxYwaMRiOeffZZeHt7o3fv3qIj2cQbb7yBqVOnYujQoVi1ahWcnRV1KqEqppTNuIr6r4iFTFVNpVLhjTfeQG5uLmJiYuDl5YXOnTuLjnXHrFYrZsyYgcWLF2PmzJl4+eWXOfCD7I6FLEMsZBJBrVZj/fr1OHfuHCIiInD48GE89dRTomNVWmlpKUaMGIGNGzfirbfewsSJE0VHIoVQSiErclOXEg4sSYurqyv27NmD5s2bIygoCD/99JPoSJVSUFCAyMhIbNmyBVu2bGEZU5ViIcuQ2WyGs7Mz3NzcREchBapevTqSk5NRu3ZtaLVanD17VnSkCrl48SK0Wi3S09ORmJiI6Oho0ZFIYVjIMlR+P01+50WieHt7Iy0tDSUlJQgKCsLly5dFR/pPf/zxB9q3b4/vvvsO6enp0Ov1oiORArGQZUgpB5Wk7f7774fBYMBvv/2GiIgIyY7Y/OGHH+Dn54crV64gKysLbdq0ER2JFKp8MSV3iitkJVzLRtL36KOPIikpCZ988gn69+8vuRGbn376KQICAlC9enVkZ2ejWbNmoiORgillMaW4QlbCQSXH4Ofnh927dyMhIQFjxoyRzIjNtLQ0dOrUCU2bNsWRI0fQoEED0ZFI4ZSymGIhEwkUEhKCdevWYc2aNXjuuedEx8H27dsRGhqKDh064MCBA6hTp47oSESKOXcr7jpkJRxUciyDBg2CyWTC9OnT4evri9jYWCE5li1bhgkTJmDgwIFYu3YtXFxchOQgulFJSQlKSkoUce5WXCH7+vqKjkH0L9OmTYPRaMSECRPg6+uLPn36VNlrW61WzJ07Fy+//DKmTp2KRYsWQa1W1IdnJGFKmh+huEJWwkElx/Taa6/BZDJhwIABqFOnDrp162b31ywtLcWYMWOwdu1avPbaa5g2bZrdX5OoMljIMqWUrfPkmNRqNdatW4fz588jMjISGRkZaN26td1er7CwEP3790diYiI2btyIQYMG2e21iO6UkgpZUZ9LcYVMUufi4oJdu3bhscceQ1BQEH788Ue7vM6lS5eg1+thMBiwd+9eljFJVl5eHgAWsuwoZes8OTZPT08kJSXBx8cHWq0WZ86csenznz17Fh06dMCxY8dw4MABhIaG2vT5iWyJK2QZKi0tRVFRkSIOKjk+Ly8vGAwGlJWVQa/X49KlSzZ53hMnTsDf3x/nzp3DkSNH4OfnZ5PnJbKX8kJWwmJKMYWspHdZJA8NGjSAwWDAH3/8gbCwMBQWFt7V833xxRfw9/eHq6srcnJy0KJFCxslJbIfJZ27WchEEta8eXMkJSXh888/R9++fVFaWnpHz5Oeno6OHTuiUaNGyMrKQsOGDW2clMg+zGYz3NzcFHFdPAuZSOLatWuHPXv2IDk5GaNGjar0iM09e/YgKCgI7dq1Q3p6Ory9ve2UlMj2lLQZl4VM5ACCg4OxYcMGrF+/HnPmzKnwz61cuRJRUVHo2bMnEhMTFfE9HMmLkgpZMdchK2nrPMnTgAEDYDKZMHXqVGg0GkyYMOGWv9dqtWLBggVYsGABJkyYgDfffJPTt8ghsZBliCtkkoMpU6bAaDRi4sSJ8PHxQf/+/f/1e8rKyhAbG4uVK1fi5ZdfxsyZM6FSqQSkJbp7ShropLhC5kd25OgWLVoEk8mEQYMGwcvLCzqd7vpjxcXFiImJQVxcHNasWYPhw4cLTEp097hCliGz2QwXFxe4ubmJjkJ0V1QqFdasWYNz586hZ8+eSE9PxzPPPIMrV66ge/fuyMnJwfvvv4/u3buLjkp018xmM2rVqiU6RpVQzJdKSnqXRfJXPmLziSeeQHBwMLKystCxY0d88cUXSEtLYxmTbCjp3M1CJnJQHh4eSExMRJ06ddCpUyf88ccfyMzMRGBgoOhoRDajpHM3C5nIgZ0+fRqXL18GANSqVQv169cXnIjItpR07mYhEzmow4cPIzAwEPXr10dGRgYuXLiAsLAwFBQUiI5GZDNKOnezkIkcUHx8PHQ6HVq3bo1Dhw7B398fycnJ+PLLL9GnTx9cvXpVdESiu2a1WhV17lZMISvpWjaSt7Vr16JXr14IDw/H/v37UbNmTQBAmzZtEBcXh9TUVIwcObLSIzaJpKa4uBilpaWKOXcrppCV9C6L5MlqteKll17CiBEjMHr0aGzfvv1fl/HpdDps3LgRGzduxMyZMwUlJbINpU1YVNR1yBwKQo7KYrFg4sSJePvtt7FgwQLMmzfvltO3oqOjkZubi0mTJkGj0WDy5MlVnJbINpQ2YVFRhayUg0ryUlJSgkGDBmHnzp1YuXIlRo8efdufmThxIoxGI6ZMmQIfHx8MGDCgCpIS2ZbSJiyykIkkzGw2o2fPnjh8+DB2796Nnj17VvhnX375ZZhMJgwdOhTe3t4ICgqyY1Ii2+MKWaZYyORocnNzERwcjB9++AGpqano1KlTpX5epVJh1apVOHfuHHr16oWDBw+ibdu2dkpLZHtKK2RFbOoqKSlBSUmJYg4qOb5ffvkFAQEB+O2333D48OFKl3E5Z2dn7NixA0899RRCQkLw3Xff2Tgpkf2wkGVIaQeVHNvXX38Nf39/lJaWIjs7Gy1btryr53N3d0dCQgLq1asHrVaL06dP2ygpkX0p7TtkRRSy0rbOk+PKyspCYGAgfHx8kJ2djQcffNAmz1u7dm0YDAY4OTlBp9PhwoULNnleInsym81wd3eHs7Myvl1VRCFzhUyOIDExEd26dcMTTzyBw4cP495777Xp89erVw9paWnIzc1FaGgoR2yS5CltoJOiClkpH3uQ49mwYQMiIyMRFBSE1NRUu93/9aGHHsL+/ftx7Ngx9O7dmyM2SdKUthlXUYWspANLjsFqteK1117D0KFDMXToUOzevRvVqlWz62s+/fTTiI+PxwcffIDhw4fDYrHY9fWI7pTSBjqxkIkEsVgsmDp1KmbMmIG5c+di1apVcHJyqpLX7tatGzZv3oz33nsPM2bMqJLXJKospa2QFfFNOQuZpObq1asYOnQotm7dimXLliE2NrbKM/Tt2xe5ubkYP348NBoNpk6dWuUZiP4LC1mGzGYz3Nzc4OLiIjoKEfLz89G7d28cOHAA27dvR58+fYRliY2NhdFoxLRp0+Dr64uBAwcKy0L0T2azGV5eXqJjVBnFFLKS3mWRdJ0/fx6hoaH4+uuvkZycjG7duomOhIULF14fsenl5YWQkBDRkYgAXDt3N2rUSHSMKqOIQlba1nmSptOnT0On0yE3NxcZGRlo3bq16EgAro3YXLFiBXJzc6+v3P38/ETHIlLcYkoxm7qUdFBJer799lv4+fmhoKAA2dnZkinjcs7Ozti+fTuefvpphIaG4vjx46IjESluMaWYQlbS1nmSlg8//BDt27fHPffcg5ycHDz00EOiI91UtWrVsG/fPjRo0AA6nQ6//fab6EikcEpbTCmmkJV0UEk6UlJS0KVLFzRv3hyZmZmoV6+e6Ej/6Z577kFqaipcXV2h0+lw7tw50ZFIoaxWq+IWUyxkIjvZsmULwsPD0bVrV6SlpaF27dqiI1VI3bp1YTAYrm9Ay8/PFx2JFKioqAhlZWWKOnezkIns4M0338SAAQMwYMAAxMXFwd3dXXSkSmnatClSUlJw/Phx9OrViyM2qcopcX4EC5nIhqxWK2bMmIEpU6ZgxowZWLduncPeqaZVq1bYu3cv0tPTMWTIEI7YpCqlxEJ2zDNFJbGQqSqUlpZi5MiR2LBhA958801MmjRJdKS71qVLF2zZsgV9+vSBr68v3njjDahUKtGxSAFYyDLFQiZ7KygoQN++fZGSkoL33nsPMTExoiPZTO/evZGbm4tnn30WGo2Gs6+pSrCQZUpp17JR1bp48SLCwsJw9OhRJCQkICgoSHQkmxs7diyMRiNmzpwJX19fDBkyRHQkkjkWsgwVFxfj6tWrijqoVHX++OMP6PV6nDlzBunp6WjTpo3oSHbz/PPPw2g0YsSIEfD29kZYWJjoSCRjeXl5AFjIslL+LktJ17JR1fjhhx+g0+lgsViQlZWFZs2aiY5kVyqVCu+88w7OnTuHqKgofPDBBwgICBAdi2Sq/Nzt6ekpOEnVkf0uayV+7EH29+mnnyIgIAAeHh7Izs6WfRmXc3JywpYtW9C2bVuEhYXh66+/Fh2JZMpsNsPDw6PK7hEuBSxkokpKS0tDp06d8OCDD+LIkSNo0KCB6EhVqnzEZqNGjaDX6/Hrr7+KjkQypMTNuCxkokrYvn07QkNDERgYiAMHDijqXq03qlmzJlJSUlCtWjVotVrk5uaKjkQyw0KWIRYy2cqyZcvQv39/9O3bF/v27VPUd1s3c++99yItLQ2XLl1CSEjI9U04RLbAQpYhFjLdLavVirlz52LChAmYMmUKNm7cCBcXF9GxJKFJkyZITU3F999/jx49eqCkpER0JJIJFrIMlb9r5y5ruhOlpaUYNWoUXnrpJbz22mt4/fXXoVbL/j+bSmnZsiX27duHw4cPY/DgwRyxSTahxEJWxGVP7u7uDjtPmMQpKipCv379kJiYiA0bNmDw4MGiI0lWp06dsHXrVkRFRcHHxwdLlizhiE26K3l5efD19RUdo0rJ/q2+0u6nSbZx+fJl6PV6pKamIj4+nmVcAb169cKKFSuwbNkyvPLKK6LjkIPjClmGlHhQ6e6cPXsWQUFB+PXXX3HgwAH4+/uLjuQwRo8eDaPRiDlz5sDX1xfDhw8XHYkclBIXUyxkohv89NNP0Gq1KC4uxpEjR9CiRQvRkRzOc889B5PJhFGjRsHb2xvdu3cXHYkckBLP3Yr4yFppB5XuzBdffAF/f3+4uroiJyeHZXyHVCoVli1bhh49eqBv377IzMwUHYkckBLP3SxkIgDp6eno2LEjGjZsiKysLDRs2FB0JIdWPmLT398f4eHhOHbsmOhI5ECsVqsi79LHQibF27NnD4KCgtCuXTukp6fD29tbdCRZcHNzQ3x8PJo0aQKdTodTp06JjkQOoqCgABaLRXHnbtkXshLfZVHFrVy5ElFRUejZsycSExMVt4nE3mrWrIn9+/fD09MTWq0WJpNJdCRyAEod6CT7QuYKmW7GarXi+eefx9ixYxEbG4stW7bA1dVVdCxZ0mg0SEtLQ15eHoKDg6+fbIluRYn3QgYUUshc9dCNysrK8Oyzz2LBggV46aWXsGTJEk7fsrPGjRsjNTUVJ06cQGRkJIqLi0VHIgnjClmmuEKmGxUXF6Nv375YtWoV1qxZg9mzZ3OiVBV54oknkJCQgKysLAwcOBBlZWWiI5FElRey0hZTsr4O2Wq1spDpuitXriAyMhLZ2dl4//33eX2sAB06dMD27dvRq1cv+Pj44O233+YbIvoXpa6QZV3IRUVFKCsrU9xBpX8zGo0IDg7GTz/9BIPBgA4dOoiOpFiRkZF49913MXLkSGg0GsybN090JJIYFrIMKfWg0t+dOnUKWq0WeXl5yMzMxBNPPCE6kuKNGDECRqMR8+bNg6+vL0aNGiU6EklI+blbafccZyGTrH311VfQ6/WoXr06srOz0bhxY9GR6C9z5syB0WjE2LFj4ePjgx49eoiORBJRvhlXaZstZf1vy0JWtszMTAQGBqJu3brIyspiGUuMSqXC0qVL0bt3b/Tr1w8ZGRmiI5FEKHXvj6wLWanXshGwd+9eaLVatG7dGhkZGdBoNKIj0U2o1Wps2rQJgYGBiIiIwJdffik6EkkAC1mGuEJWprVr16Jnz54IDw/H/v37UbNmTdGR6D+4ubkhLi4ODz30EPR6PX7++WfRkUgwpU5YVEQhK+1aNqWyWq14+eWXMWLECIwePRrbt2+Hm5ub6FhUATVq1Lj+5kmn08FoNIqORAJxhSxDLGTlsFgsmDBhAubMmYPnn38ey5cvh5OTk+hYVAk+Pj5IS0tDQUEBgoKCcOXKFdGRSBClTliUfSF7eHjwxCxzJSUliI6OxvLly7Fy5UrMnz+fwyYcVKNGjZCamoqTJ0+ie/fuKCoqEh2JBOAKWYaUelCVJC8vD2FhYYiLi8OuXbswevRo0ZHoLj3++ONITEzEhx9+iAEDBnDEpgIp9dzNQiaHlZubi86dO+PDDz9ESkoKevXqJToS2Uj79u2xc+dOxMXFITY2FlarVXQkqkJKPXfLfjCIEg+qEvz666/QarW4dOkSMjIy8NRTT4mORDYWHh6O1atXY/jw4dBoNJg/f77oSFRFlHrulnUhK3XrvNx988030Ol0cHNzQ3Z2Nh588EHRkchOhg0bBpPJhNmzZ0Oj0fArCYVgIcuQUg+qnGVnZyM0NBQNGzZESkoK6tatKzoS2dnMmTOvj9j09vbmVxMyZ7FYkJ+fr8hzt+wL2cfHR3QMspGkpCT07t0bzzzzDBISElCrVi3RkagKqFQqvPnmm8jNzUV0dDTq1KmDzp07i45FdlJQUACr1arIQuamLnIIGzduRPfu3aHX62EwGFjGCqNWq7FhwwZ06tQJ3bt3x9GjR0VHIjtR8vwIFjJJ3uLFizFkyBAMHToUu3fvRrVq1URHIgFcXV2xZ88eNGvWDHq9Hj/99JPoSGQHSh55zEImybJYLJg6dSqmT5+OuXPnYtWqVXB2lvW3LHQb1atXR3JyMmrXrg2dToc///xTdCSyMRayTLGQHdfVq1cxePBgvPnmm1i2bBkWLlzI6VsEAPD29obBYEBxcTH0ej0uX74sOhLZEAtZhqxWKy97clD5+fno3r07duzYgW3btiE2NlZ0JJKYhg0bIjU1Fb/++isiIiI4YlNGWMgyVFhYCIvFosiD6sjOnz+Prl274vDhw0hOTkbfvn1FRyKJatGiBZKSkvDxxx8jOjqaIzZlgoUsQ0o+qI7q9OnTaN++PX766SccOnQI3bp1Ex2JJM7f3x+7d+/Gvn37MHbsWI7YlAGz2Qy1Wg0PDw/RUaqc7AtZiVvnHdF3330HPz8/FBQUICsrC08//bToSOQgQkNDsXbtWqxevZrjNWUgLy8P1atXV+SeEdluWeUK2XF89NFHCAkJQb169ZCamor77rtPdCRyMIMHD4bJZMKMGTPg6+uLcePGiY5Ed0ip90IGWMgkWPldmlq2bInExETUrl1bdCRyUNOmTYPRaMT48ePh6+uLqKgo0ZHoDij56hgWMgmzdetWDB48GHq9Hjt37lTkd0ZkOyqVCosXL4bJZEJMTAzq1KmDrl27io5FlaTkQpb9d8hKPbBS99ZbbyEmJgYxMTGIj49nGZNNqNVqrF+/Hl27dkVkZCQ+++wz0ZGokljIMlReyJ6enoKT0I2sVitmzpyJyZMnY/r06Vi/fj2nb5FNubi4YPfu3WjRogWCg4Nx4sQJ0ZGoEljIMlS+MUCtlu2/osMpLS3F8OHDsWjRIrzxxhtYtGiRIndSkv15enoiKSkJ3t7e0Gq1OHPmjOhIVEEsZBnilC5pKSwsRM+ePbF582a89957mDx5suhIJHNeXl4wGAwoLS2FXq/HpUuXREeiCmAhy5CSD6rUXLx4EVqtFgcOHEBCQgJiYmJERyKFaNCgAQwGA/744w+Eh4ejsLBQdCS6DSUvpmRdyEq9lk1Kzpw5g8DAQHz77bc4ePAggoKCREcihWnevDmSkpLw2WefoV+/figtLRUdif6DkhdTsi5kpR5Uqfjhhx/g5+eHS5cuISsrC23bthUdiRSqXbt22LNnD5KSkjB69GiO2JQwJS+mWMhkF59++ikCAgLg4eGBnJwcNGvWTHQkUrjg4GCsX78e69atw9y5c0XHoZuwWCzIz89X7LlbttebmM1m1K1bV3QMRfrggw8QGRmJxx57DElJSfDy8hIdiQgAMHDgQJhMJkybNg0ajQbjx48XHYlukJeXB0C58yNkXcgPPfSQ6BiKs2PHDgwcOBBdu3bF7t27eR04Sc7UqVNhNBoxYcIE+Pj4oF+/fqIj0V+UPtBJ1oWs1IMqyttvv40JEyYgOjoa69evh4uLi+hIRDe1aNEimEwmDBo0CF5eXtBqtaIjEVjIsv0OWclb56ua1WrFvHnzMH78eEyaNAmbNm1iGZOkqdVqrF27FlqtFj169MAnn3wiOhKBhSzbQuYKuWqUlZVh9OjRePHFF7Fo0SK8/vrrnI5GDsHFxQW7du3C448/juDgYPzwww+iIyme0r9DluWZ02q1Xr/JNdlPUVERevfujXXr1mH9+vWYPn06R2GSQ/Hw8EBSUhI0Gg20Wi3++OMP0ZEUjStkGcrPz4fValXsQa0Kly9fhl6vR0pKCuLj4zFkyBDRkYjuSJ06dWAwGGC1WqHX63Hx4kXRkRSrvJCVupiSZSEr/V2Wvf3555/o0KEDvvrqKxw4cABhYWGiIxHdlfr168NgMODMmTMICwtDQUGB6EiKZDaboVar4e7uLjqKECxkqpSff/4Z/v7+yM3NxZEjR+Dv7y86EpFNNGvWDPv378fRo0fRp08fjtgUoHzvj1K/+mIhU4UdPXoUfn5+cHZ2Rk5ODlq0aCE6EpFNtWnTBu+//z5SU1MxcuRIjtisYkrfjMtCpgpJT09Hhw4d0LBhQ2RlZaFhw4aiIxHZhV6vx8aNG7FhwwbMmjVLdBxFUXohy3IwiNK3ztvanj17EB0djQ4dOiAuLk6xGy5IOaKjo2EymTB58mRoNBpMmjRJdCRFYCHLEFfItvPuu+9i7Nix6NOnDzZt2gRXV1fRkYiqxKRJk2A0GjF58mT4+PjwPt5VgIUsQ2azGSqVCh4eHqKjOCyr1YoXXngBzz//PGJjY7FkyRIO/CDFeeWVV2AymTBkyBB4eXnxft52pvQJi7I8w5bfT1OpO/XuVllZGcaNG4fnn38eL774IpYuXcoyJkVSqVRYvXo1goKC0KtXL3z88ceiI8maku+FDMi4kJX8LutuFBcXo1+/fnj33XexevVqzJkzh29sSNGcnZ2xY8cOtGzZEsHBwfjuu+9ER5ItpZ+7Wch0ndlsRkhICBISErBnzx6MGDFCdCQiSfDw8EBiYiLq1asHnU6H06dPi44kS0o/d7OQCQBgMpnQsWNHfPrppzAYDIiMjBQdiUhSateujdTUVKjVauj1ely4cEF0JNlR+rmbhUw4deoU/P39cebMGWRmZqJDhw6iIxFJ0n333QeDwQCTyYTQ0FCO2LQxpZ+7WcgKd+zYMfj5+QEAsrOz8cQTTwhORCRtDz/8MPbv349jx46hd+/euHr1quhIslBaWorCwkJFn7tlWchK3zpfUZmZmQgMDETdunWRlZWFxo0bi45E5BCefvppxMXF4YMPPsDw4cNhsVhER3J4HOgk00LmCvn29u7dC61Wi1atWiEjIwMajUZ0JCKHotVqsWnTJmzevBkzZ84UHcfhsZBlPBhEydey3c7atWsxatQo9OjRA1u2bIGbm5voSEQOqV+/fsjNzcWECROg0WgwZcoU0ZEcFicsyriQlXxQb8VqteKVV17BnDlzMGbMGLz99ttwcnISHYvIoY0fPx5GoxFTp06Fj48PBg4cKDqSQyovZCUvpljICmGxWDBp0iQsW7YMzz//PJ577jkO/CCykRdffBEmkwlDhw6Ft7c3goODRUdyOFwhy7CQLRYL8vPzFX1Q/6mkpASDBw/Gjh07sGLFCowZM0Z0JCJZUalUWLlyJc6dO4devXrh4MGDaNeunehYDoWFLMNNXdwY8Hd5eXkICwvD+++/j507d7KMiezE2dkZ27ZtQ+vWrRESEoJvv/1WdCSHwkKWYSHzoP7fuXPn0KVLF+Tk5CAlJQW9e/cWHYlI1tzd3ZGQkIAGDRpwxGYlmc1mODs7K3qTqewKmSvka3799VcEBATg1KlTyMjIQOfOnUVHIlKEe+65B6mpqXB2doZWq8X58+dFR3II5Xt/lLy3RXaFzBUycPz4cfj7+6O4uBjZ2dlo1aqV6EhEilK3bl2kpaXh/PnzCAkJQX5+vuhIkseBTjIuZKVunc/JyUH79u3h5eWFnJwcNG3aVHQkIkVq2rQpUlJScPz4cY7YrABeHSPjQlbigU1OTkbXrl3x2GOPITMzE3Xr1hUdiUjRWrVqhfj4eBw4cABDhw7liM3/wIFOLGTZ2LRpEyIiIqDT6WAwGFCrVi3RkYgIQNeuXbFlyxZs3boV06ZNg9VqFR1JkrhCluF1yGazGWq1Gu7u7qKjVJnFixdj+vTpGD58OFauXAlnZ9kdViKHFhUVhdzcXIwbNw4ajQbTp08XHUlyWMgyLWSl7NSzWCyYPn063njjDcyZMwcLFy5UxL83kSN69tlnYTQaMWPGDPj6+mLw4MGiI0mK2WyGr6+v6BhCybaQ5e7q1asYNmwY3nvvPSxbtgyxsbGiIxHRbSxYsABGoxHDhw+Hl5cXwsLCREeSDKWcu/+L7ApZCVvn8/PzERUVhQ8++ADbtm1Dv379REciogpQqVRYsWIFzp07h6ioKBw4cAD+/v6iY0kCC1mmm7rkfFAvXLiArl274vDhw0hKSmIZEzkYJycnbN26FW3btkVoaCi++eYb0ZEkQe7n7oqQZSHLdev877//jvbt2+PEiRNIT0+HVqsVHYmI7kC1atWwd+9eNGzYEDqdDr/++qvoSMIp4dPN25FlIcvxoH733Xfw8/NDXl4esrOz8cwzz4iORER3oVatWkhNTUW1atWg0+lw7tw50ZGEKS0tRVFRkWwXUxXFQnYAH3/8MQICAlCzZk3k5OTg4YcfFh2JiGzg3nvvRVpaGi5evIjg4ODrs/iVRqnzI/6JhSxxqamp6Ny5Mx555BFkZmbivvvuEx2JiGyoSZMmSE1Nxffff4+ePXuipKREdKQqx0K+hoUsYVu3bkVYWBg6d+6MDz74AHXq1BEdiYjsoGXLlti3bx8yMjIwePBgxY3YZCFfw0KWqCVLliAmJgYxMTGIj4+Hh4eH6EhEZEedOnXC1q1bsWPHDkyePFlRIzZZyNewkCXGarVi1qxZmDRpEqZPn47169dzFCaRQvTq1QsrVqzA0qVL8eqrr4qOU2VYyNfI6kxfVlaGwsJChz2opaWlGDVqFNavX4833ngDkydPFh2JiKrY6NGj8eeff2L27Nnw9fXFsGHDREeyOxbyNbIq5PIdio54UAsLC9G3b1/s378fmzdvxoABA0RHIiJB5s+fD6PRiJEjR8Lb2xsRERGiI9mVI5+7bUlWhVz+LsvRrmW7ePEiwsPD8fnnnyMhIQFBQUGiIxGRQCqVCsuXL8e5c+fQt29fpKWloX379qJj2Y3ZbIarqytcXV1FRxFKVt8hO+LHHmfOnEFgYCCOHz+OgwcPsoyJCMC1EZtbtmxBu3btEBYWhmPHjomOZDdynrBYGSxkgX788Uf4+fnh0qVLyMrKQrt27URHIiIJcXNzw969e9G4cWPo9XqcOnVKdCS7cPTNuLbCQhbks88+g7+/P9zd3ZGTk4PmzZuLjkREElSzZk2kpKTAw8MDOp0OJpNJdCSbYyFfw0IW4MCBA+jUqROaNGmCrKwsNGjQQHQkIpIwjUaDtLQ0XLlyBcHBwdfPdXLBQr6GhVzFdu7cieDgYAQEBODgwYPw8vISHYmIHEDjxo2RmpqKEydOoEePHiguLhYdyWZYyNfIqpDz8vLg7OwMNzc30VFuavny5ejXrx+ioqKQkJAAT09P0ZGIyIE8+eST2LdvH44cOYJBgwbJZsQmC/kaWRVy+UFVqVSio/yN1WrFc889h9jYWEycOBGbN2+Gi4uL6FhE5IA6duyIbdu2Yffu3ZgwYYIsRmzyXsjXyO46ZKltnS8rK8PYsWOxevVqLFq0CNOmTZPcGwYiciw9evTAypUrMWrUKGg0GsydO1d0pLvCFfI1sitkKR3UoqIiREdHY9++fVi/fj2GDBkiOhIRycTIkSNhNBoxb948+Pr6YuTIkaIj3TEpLqZEYCHbyeXLl9G9e3d89NFHiI+PR1hYmOhIRCQzc+fOhdFoxJgxY+Dt7Y0ePXqIjnRHpHTuFomFbAd//vkn9Ho9fv31V3zwwQcICAgQHYmIZEilUmHp0qXIzc1F//79YTAY0KFDB9GxKk0q527RZLmpS6Sff/4Z/v7+yM3NRWZmJsuYiOzKyckJmzdvRkBAAMLDw/Hll1+KjlQpJSUlKCkpEX7ulgIWsg0dPXoUfn5+cHZ2RnZ2Nh577DFhWYhIOdzc3BAfH4+mTZtCr9fj5MmToiNVmCPMj6gqLGQbOXToEDp06ID7778fWVlZaNSokZAcRKRMNWrUwP79+1GzZk1otVoYjUbRkSqEhfx/sipkUdeyvf/++9Dr9WjTpg3S09Ph4+NT5RmIiHx9fWEwGJCfn4+goCBcuXJFdKTbYiH/n6wKWcTW+VWrVqF3796IjIxEcnIy/1IRkVAPPPAADAYDTp48icjISMmP2MzLywPAQgZkWMhVdVCtViteeOEFjB49Gs8++yy2bdum+JtrE5E0PP7440hISEB2djZiYmJQVlYmOtItla+QeR2yjAq5tLQURUVFVVLIZWVliI2Nxfz587Fw4UIsW7YMarVs/iiJSAYCAwOxc+dOxMXFITY2VrIjNvmR9f/J5jrkqjqoxcXFGDhwIPbs2YPVq1djxIgRdn09IqI7FRERgVWrVmHEiBHQaDSYP3++6Ej/wkL+PxZyJV8jMjISWVlZ2LNnDyIjI+32WkREtjB8+HCYTCbMmTMHGo0Go0ePFh3pb8xmM9zc3HjDHbCQK8xkMiE4OBgnTpxw2Gk4RKRMs2bNgtFoxNixY+Ht7Y1evXqJjnSd6PkRUsJCroBTp05Bp9PhypUrOHz4MJ588kmbvwYRkb2oVCq89dZbyM3NRXR0NLy8vNCpUyfRsQCwkG8km51I9to6f+zYMfj5+cFisSAnJ4dlTEQOSa1WY+PGjejYsSMiIiJw9OhR0ZEAsJBvJJtCtscKOTMzE4GBgahbty6ys7PRuHFjmz03EVFVc3V1xfvvv49HHnkEQUFB+Pnnn0VHEjbQSYpkV8i2upZt37590Gq1eOqpp5CRkQGNRmOT5yUiEql69epITk5GrVq1oNVq8eeffwrNwxXy/8mqkF1cXODm5nbXz7Vu3Tr06NEDoaGh12fDEhHJhY+PD9LS0lBUVISgoCBcvnxZWBYRExalSlaFfLfvsqxWK1555RUMHz4cI0eOxM6dO1GtWjUbJSQiko6GDRvCYDDgl19+Qffu3VFUVCQkB1fI/8dC/ovFYsGkSZMwe/ZszJ8/HytWrICTk5MNExIRSUuLFi2QmJiIjz76CNHR0UJGbLKQ/4+FjGs3yB4wYACWLVuGd955B88//zxUKpWNExIRSU9AQAB27dqFffv24dlnn63yEZss5P+T1XXId3JQ8/Ly0KtXL6Snp2PHjh2IioqyQzoiIukKCwvDmjVrMHToUGg0GixYsKDKXpuF/H+yKeQ72Tp/7tw5hISE4Ntvv0VKSgq6dOlip3RERNI2ZMgQmEwmzJw5ExqNBmPHjrX7a1qtVhbyDWRTyJU9qL/99hu0Wi0uXLiAjIwMtGrVyo7piIikb/r06TAajRg3bhy8vb3t/olhSUkJSktLWch/kVUh33vvvRX6vcePH4dOp4OLiwuys7PRtGlTO6cjIpI+lUqF119/Hbm5uYiJiYGXl5ddPznknZ7+TnGbunJyctC+fXt4eXkhJyeHZUxEdAO1Wo3169ejS5cu6N69Oz7//HO7vZatBzo5OkUVcnJyMrp27YrHHnsMhw8fRt26dasoHRGR43BxccGePXvw6KOPIigoCCdOnLDL63CF/HeKKeRNmzYhIiICOp0OqampuOeee6ouHBGRg/H09ERycjK8vLyg1Wpx9uxZm78GC/nvFFHIixcvxuDBgzF48GDs3r0b7u7uVZyOiMjxeHl5wWAwoLS0FHq9HpcuXbLp87OQ/04WhVxSUoKSkpJ/HVSLxYJp06Zh+vTpmD17NtasWQNnZ9nsYyMisrv7778fBoMBp0+fRkREBAoLC2323Czkv5NFId/soF69ehVDhgzB66+/jqVLl+Kll17i9C0iojvQvHlzJCcn49NPP0X//v1RWlpqk+flpq6/k0Uh5+XlAfh/IRcUFCAyMhLbtm3D1q1bMX78eJHxiIgcXrt27bB7924kJiZizJgxNhmxaTab4e7uzk8u/+LQfwoWixWJx85gzaETuG/Merz5lQW5Hj/i7WmD8fWxY0hKSoJOpxMdk4hIFkJCQrB+/XoMGjQIGo0GL7744l09351MWJQzhy1ki8WKiTuPIuHYWagAONfyxffnSzE76QSu3tcZB956C23btBEdk4hIVgYOHAiTyYRp06ZBo9EgNjb2jp+L90L+O4ct5MRjZ5Bw7No2/PIPTsr/6fJgOxjd6gvJRUQkd1OnToXRaMSECRPg4+ODvn373tHzcI713zlsIW/75DeoVYDlZl9jWC14aedhfJvyKzw9Pa//ql69+t/+/xt/ubu7c9MXEVEFLVq0CEajEQMHDoSXlxe6detW6edgIf+dwxby7xcLbl7GAKBSw5hfitdXv478/HwUFxff9vlUKtUty7oihc6yJyIlUavVWLduHc6fP4/IyEgcOnQITz/9dKWeg4X8dw5byPVre+Ds5aKblrJaBTzdoil2nj8PACgtLUVBQQHy8/P/9isvL+9f/9utHj9z5sxNH2PZE5FSubi4YNeuXejatSuCg4ORlZWFhx9+uMI/bzab4eXlZceEjsVhC7n/M/fj41MXbvqYxXrt8XLOzs6oWbMmatasafMc9ij78serouz/63GWPRHdjqenJ5KSktC+fXvodDrk5OSgXr16FfpZs9mMRo0a2TegA3HYQg57vB4Ofm9Cwldnrn+XXP7P8CfqIezxiv2FuFv2LPuysrIKFfp/PX6zss/Pz0dRUdFtX1+lUsHDw+OOV+8seyJlKB+x6efnB51Oh8zMTNSuXfu2P8ePrP/OYQtZrVZhSdST6PKIL7Z98ht+v1iI+rXd0f+Z+xH2eD2o1Y5/sndychJS9hUtfJY9EZVr0KAB0tLSEBAQgPDwcKSlpd32vgG8DvnvHLaQgWulHPHkfYh48j7RURyOyLKvSOHbu+zv9Ht7lj3RrTVr1gzJycno0qUL+vTpg7i4uP+cwsUV8t85dCGTNNm77AsKCv6z0KVe9rd6nGVPctC2bVvs2bMH4eHhGDVqFNauXXvTv9dWq5WDQf6BhUwOxcnJCTVq1LDLu+qKlP3tCv/s2bM3fbwyZX83u+5Z9iQFQUFB2LBhAwYMGABfX1+88sor//o9RUVFKCsr4wr5Bixkor9URdlXdgf+P8v+Zo+z7EmKYmJiYDKZMGXKFGg0GkycOPFvj/PWi//GQiaqAlVV9nda+OVl/8/HbVn2d/JmgGXv2CZPngyj0YhJkybBx8cH0dHR1x9jIf8bC5nIwVVl2d9J4Uuh7G/2OMu+arz66qswmUwYPHgwvLy8oNfrAbCQb4aFTES35Ehlf+PjLHvpUKlUWLNmDc6dO4eePXsiPT0dbdq0YSHfhMpagbtMX7lyBbVq1cLly5ftsnOWiMiWblb2d/P9/Y2PV7bsbf29vaOWfUFBAbRaLb7//gcs3LwfccdM+O43E1o3ewBD2jeVzfyIm6loh7KQiYgq4VZlb4vCLywsvO3rV6bsK/tmwN5lf/7CBTwzcSXK7nsSKlhhhepvExaXRD0py1KuaIfyI2siokqo6o/xK1v4//wYX0pln/VbIcruexIAYMW14i2/QVDCV2fQ5RFfRQ96YiETEUmE3Mv+3uhX4VLvEajUTv96XK26dp97FjIREcmayLIvL/S3f/WF2fLvMgaurZR/v3j7YpczFjIREd2Vipb9wdUf4tNfLtzyPvb1a//3zSjkTi06ABERKUP/Z+6/aRkD/76PvRKxkImIqEqEPV4P4U9cu1d9+Wbq8n9W5X3spYofWRMRUZVQwn3s7wYLmYiIqgzvY39r/MiaiIhIAljIREREEsBCJiIikgAWMhERkQSwkImIiCSAhUxERCQBLGQiIiIJYCETERFJAAuZiIhIAljIREREEsBCJiIikgAWMhERkQSwkImIiCSAhUxERCQBLGQiIiIJYCETERFJAAuZiIhIAljIREREEsBCJiIikgAWMhERkQSwkImIiCSAhUxERCQBLGQiIiIJYCETERFJAAuZiIhIAljIREREEsBCJiIikgAWMhERkQSwkImIiCSAhUxERCQBLGQiIiIJYCETERFJAAuZiIhIApwr8pusVisA4MqVK3YNQ0REJDfl3VnepbdSoUI2m80AgAYNGtxlLCIiImUym82oVavWLR9XWW9X2QAsFgvOnDmDGjVqQKVS2TQgERGRnFmtVpjNZtSrVw9q9a2/Ka5QIRMREZF9cVMXERGRBLCQiYiIJICFTEREJAEsZCIiIglgIRMREUkAC5mIiEgCWMhEREQS8D8wJaJRpkS2xwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(tetrahedral_graph,\n",
    "           'tetrahedral_graph')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84af3552-b625-405a-b460-bf3314cd8402",
   "metadata": {},
   "source": [
    "## 正六面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "44dbb466-dad4-44f4-9240-ffa773df24b4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12\n",
      "8\n"
     ]
    }
   ],
   "source": [
    "cubical_graph = nx.cubical_graph() \n",
    "print(len(cubical_graph.edges))\n",
    "print(len(cubical_graph.nodes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b9df314d-a62c-4913-b136-2e99fa3c189c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(cubical_graph,\n",
    "           'cubical_graph')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f93feb7-ed36-4d67-98bd-8c487b98a038",
   "metadata": {},
   "source": [
    "## 正八面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a30ac780-509b-4dac-8516-a41083315733",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12\n",
      "6\n"
     ]
    }
   ],
   "source": [
    "octahedral_graph = nx.octahedral_graph() \n",
    "print(len(octahedral_graph.edges))\n",
    "print(len(octahedral_graph.nodes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "041bce62-5170-40e0-9d47-fc158284f9f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(octahedral_graph,\n",
    "           'octahedral_graph')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9e7f58b-0426-4465-aaaf-b83528a44d84",
   "metadata": {},
   "source": [
    "## 正十二面体图 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9fb29492-2add-4d81-b8c8-7d6cb770d8a7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30\n",
      "20\n"
     ]
    }
   ],
   "source": [
    "dodecahedral_graph = nx.dodecahedral_graph() \n",
    "print(len(dodecahedral_graph.edges))\n",
    "print(len(dodecahedral_graph.nodes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "110fbe99-ccf9-40be-8225-37949a2711d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(dodecahedral_graph,\n",
    "           'dodecahedral_graph')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6dfd0544-b7e2-4aec-afad-ee69fa28d84b",
   "metadata": {},
   "source": [
    "## 正二十面体图 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "88ae2266-387f-47c4-8764-1f3af0837a3d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30\n",
      "12\n"
     ]
    }
   ],
   "source": [
    "icosahedral_graph = nx.icosahedral_graph() \n",
    "print(len(icosahedral_graph.edges))\n",
    "print(len(icosahedral_graph.nodes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9a9ac041-f7a5-47a0-82c8-c61140b2fa90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_G(icosahedral_graph,\n",
    "           'icosahedral_graph')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
